In collaboration with Levi, the author discusses the concept of the law of large numbers. They explain that the term “large” is relative and depends on the context. To illustrate the law, they conduct experiments using dice rolls and lottery tickets. They show that as the number of experiments increases, the sample averages converge to the expected values. They differentiate between the weak and strong laws of large numbers and highlight the importance of the variance of the distribution in determining the speed of convergence. The author also mentions the central limit theorem and cautions about the slow convergence of the Monte Carlo method.
https://thepalindrome.org/p/how-large-that-number-in-the-law